7 citations · 7 across the 7 of their papers we have counts for
11 papers
A characterisation of orthomodular spaces by Sasaki maps
Bert Lindenhovius, Thomas Vetterlein
Given a Hilbert space , the set of one-dimensional subspaces of becomes an orthoset when equipped with the orthogonality relation induced by the inner product…
Transitivity and homogeneity of orthosets and the real Hilbert spaces
Thomas Vetterlein
An orthoset (also called an orthogonality space) is a set equipped with a symmetric and irreflexive binary relation , called the orthogonality relation. In quantum physi…
Linear orthogonality spaces as a new approach to quantum logic
Kadir Emir, David Kruml, Jan Paseka +1
The notion of an orthogonality space was recently rediscovered as an effective means to characterise the essential properties of quantum logic. The approach can be considered as mi…
A geometric approach to Wigner-type theorems
Mark Pankov, Thomas Vetterlein
Let be a complex Hilbert space and let be the associated projective space (the set of rank-one projections). Suppose that . We prove the followin…
Categories of orthogonality spaces
Jan Paseka, Thomas Vetterlein
An orthogonality space is a set equipped with a symmetric and irreflexive binary relation. We consider orthogonality spaces with the additional property that any collection of mutu…
Gradual transitivity in orthogonality spaces of finite rank
Thomas Vetterlein
An orthogonality space is a set together with a symmetric and irreflexive binary relation. Any linear space equipped with a reflexive and anisotropic inner product provides an exam…
Reasoning with graded information: the case of diagnostic rating scales in healthcare
Thomas Vetterlein, Anna Zamansky
In medicine one frequently deals with vague information. As a tool for reasoning in this area, fuzzy logic suggests itself. In this paper we explore the applicability of the basic…
Real coextensions as a tool for constructing triangular norms
Thomas Vetterlein
We present in this paper a universal method of constructing left-continuous triangular norms (l.-c. t-norms). The starting point is an arbitrary, possibly finite, totally ordered m…
Logic of Approximate Entailment in quasimetric spaces
Thomas Vetterlein
The logic LAE discussed in this paper is based on an approximate entailment relation. LAE generalises classical propositional logic to the effect that conclusions can be drawn with…
Rees coextensions of finite, negative tomonoids
Milan Petr\' ik, Thomas Vetterlein
A totally ordered monoid, or tomonoid for short, is a monoid endowed with a compatible total order. We deal in this paper with tomonoids that are finite and negative, where negativ…
Logic for approximate entailment in ordered universes of discourse
Francesc Esteva, Lluís Godo, Thomas Vetterlein
The Logic of Approximate Entailment (LAE) is a graded counterpart of classical propositional calculus, where conclusions that are only approximately correct can be drawn. This is a…